Question

Помогите решить задачу: В школе учиться 800 учеников. Среди них девочек на 16% больше, чем мальчиков. Сколько девочек и сколько мальчиков учиться в школе?

Answer 1

возьмем за Х% мальчиков.
тогда ( Х + 16 )% девочек.
получаем уравнение :
х+х+16=100 
2х= 100-16
2x=84
 х= 84:2
x=42% мальчиков;
42+16=58% девочек

800* 0,42= 336 мальчиков.
800*0,58=464 девочек

Answer 2

Problem Analysis

We are given that there are 800 students in a school, and the number of girls is 16% more than the number of boys. We need to find the number of girls and boys in the school.

Solution

Let's assume the number of boys in the school is x. Since the number of girls is 16% more than the number of boys, we can express the number of girls in terms of x as x + 0.16x.

According to the problem, the total number of students in the school is 800. So we can write the equation:

x + (x + 0.16x) = 800

Simplifying the equation:

2.16x = 800

Dividing both sides of the equation by 2.16:

x = 370.37

Since we cannot have a fraction of a student, we can round down the number of boys to the nearest whole number. Therefore, the number of boys in the school is 370.

To find the number of girls, we can substitute the value of x into the expression x + 0.16x:

370 + 0.16 * 370 = 429.2

Rounding down to the nearest whole number, the number of girls in the school is 429.

Answer

There are 429 girls and 370 boys studying in the school.